Free Boundary Problems in PDEs and Particle Systems
In this volume a theory for models of transport in the presence of a free boundary is developed. Macroscopic laws of transport are described by PDE's. When the system is open, there are several mechanisms to couple the system with the external forces. Here a class of systems where the interacti...
Κύριοι συγγραφείς: | , , , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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Σειρά: | SpringerBriefs in Mathematical Physics,
12 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Introduction
- Part I The basic model
- Introduction to Part I
- The basic model, definitions and results
- Regularity properties of the barriers
- Lipschitz and L1 estimates
- Mass transport inequalities
- The limit theorems on barriers
- Brownian motion and the heat equation
- Existence of optimal sequences
- Proof of the main theorem
- The basic particle model and its hydrodynamic limit
- Part II Variants of the basic model
- Introduction to Part II
- Independent walkers with current reservoirs
- Beyond diffusive scaling
- Other models.